complete the series 24,21,18,15
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0
Answer:
=>n=26. So,26 terms of AP series 24+18+15+... Will have to be taken continuously so that their sum is -351. Hope it helps...
Step-by-step explanation:
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In the given arithmetic series, a=24,d=−3
Let us find n such that S
n
=−351
Now, S
n
=
2
n
[2a+(n−1)d]=−351
That is,
2
n
[2(24)+(n−1)(−3)]=−351
⇒
2
n
[48−3n+3]=−351
⇒n(51−3n)=−702
⇒n
2
−17n−234=0
⇒(n−26)(n+9)=0
⇒n=26 or n=−9
Here n, being the number of terms needed, cannot be negative.
Thus, 26 terms are needed to get the sum −351.
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